is the Lie algebra which satisfies the commutation relations[1]}:
\(\left[L_{m}, L_{n} \right]=(m-n)L_{n+m} + \frac{1}{12}m(m-1)(m+1)\delta _{m+n,o}\,C,\) 
\(\left[\mathcal {V}ir, C\right]=\lbrace 0\rbrace ,\) 
